Details

Time bar (total: 5.3s)

sample43.0ms

Algorithm
intervals
Results
21.0ms380×body80valid

simplify139.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (137.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune11.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.8b

Counts
2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
0.3b
(fma x (* 9.0 y) b)
7.9b
(/ (* t a) c)
10.7b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
4×pow1 cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod fma-udef div-inv
Counts
4 → 66
Calls
4 calls:
1.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms
(fma x (* 9.0 y) b)
4.0ms
(/ (* t a) c)
4.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series510.0ms

Counts
4 → 12
Calls
4 calls:
401.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
31.0ms
(fma x (* 9.0 y) b)
24.0ms
(/ (* t a) c)
53.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify37.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0284424
11137356
25001355

prune293.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New671178
Fresh011
Picked101
Done000
Total681280

Merged error: 3.7b

Counts
80 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (* t (/ a c)) (/ (fma x (* 9.0 y) b) (* z c)))
0.3b
(fma x (* 9.0 y) b)
4.5b
(* t (/ a c))
10.7b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
13×times-frac associate-*r*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-*l* prod-exp cbrt-unprod associate-/l*
2×fma-udef div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 77
Calls
4 calls:
3.0ms
(fma (- 4.0) (* t (/ a c)) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms
(fma x (* 9.0 y) b)
7.0ms
(* t (/ a c))
4.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series322.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(fma (- 4.0) (* t (/ a c)) (/ (fma x (* 9.0 y) b) (* z c)))
37.0ms
(fma x (* 9.0 y) b)
20.0ms
(* t (/ a c))
54.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify41.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0339472
11368404
25001403

prune295.0ms

Filtered
89 candidates to 66 candidates (74.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New86389
Fresh11011
Picked101
Done000
Total8813101

Merged error: 3.4b

Counts
101 → 13

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (* t (/ a c)) (/ (fma (* 9.0 x) y b) (* z c)))
0.1b
(fma (* 9.0 x) y b)
4.5b
(* t (/ a c))
10.7b
(/ (fma (* 9.0 x) y b) (* z c))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
13×times-frac associate-*r*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-*l* prod-exp cbrt-unprod associate-/l*
2×fma-udef div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 77
Calls
4 calls:
1.0ms
(fma (- 4.0) (* t (/ a c)) (/ (fma (* 9.0 x) y b) (* z c)))
1.0ms
(fma (* 9.0 x) y b)
7.0ms
(* t (/ a c))
4.0ms
(/ (fma (* 9.0 x) y b) (* z c))

series324.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(fma (- 4.0) (* t (/ a c)) (/ (fma (* 9.0 x) y b) (* z c)))
32.0ms
(fma (* 9.0 x) y b)
19.0ms
(* t (/ a c))
57.0ms
(/ (fma (* 9.0 x) y b) (* z c))

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0335469
11410404
25001403

prune286.0ms

Filtered
89 candidates to 66 candidates (74.2%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New89089
Fresh01212
Picked011
Done000
Total8913102

Merged error: 3.4b

Counts
102 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
0.3b
(fma x (* 9.0 y) b)
4.6b
(/ t (/ c a))
10.7b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
48×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×add-exp-log associate-/r* add-cbrt-cube
6×div-inv associate-/l*
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num fma-udef
1×prod-exp associate-/r/ cbrt-unprod
Counts
4 → 115
Calls
4 calls:
1.0ms
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms
(fma x (* 9.0 y) b)
6.0ms
(/ t (/ c a))
4.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series307.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
32.0ms
(fma x (* 9.0 y) b)
26.0ms
(/ t (/ c a))
55.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify56.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0489787
11882713
25001712

prune421.0ms

Filtered
127 candidates to 103 candidates (81.1%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1252127
Fresh4711
Picked101
Done011
Total13010140

Merged error: 3.4b

Counts
140 → 10

regimes482.0ms

Accuracy

16.4% (6.5b remaining)

Error of 10.2b against oracle of 3.7b and baseline of 11.5b

bsearch324.0ms

Steps
ItersRangePoint
9
1.3188860311099463e-50
4.2507416477389313e-44
1.3415024853103642e-50
9
1.4368024689514146e-222
3.943019836365966e-216
1.8461746058788808e-219
8
-2.3496029298324118e-281
-2.6531115606000358e-285
-2.292107290191715e-283
6
-1.7333605383030257e-27
-3.3227695989083383e-28
-5.900359824349409e-28

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05745
15745

end0.0ms

sample1.2s

Algorithm
intervals
Results
738.0ms12873×body80valid

Profiling

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